Maths Exam

1. Simplify 1

Simplify the following expression: $$ {\left(1 + -4\right)}^{2} - 2(-6)\left(-6 + -1\right) $$
Correct Answer
$$ -75$$ or -75.0000

2. Simplify 2

Simplify the following expression: $$ {\left(\frac{4}{-3}\right)}^{2} + \frac{3 + -5}{-3 - 5} $$
Correct Answer
$$ \frac{73}{36}$$ or 2.02778

3. Fractions 1

Simplify the following expression: $$ \frac{3}{4} - \frac{-5}{3} $$
Correct Answer
$$ \frac{29}{12}$$ or 2.416666666666667

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{-4}{3}}{\frac{-5}{6}} $$
Correct Answer
$$ \frac{8}{5}$$ or 1.5999999999999999

5. Significant figures

1. Write the following to 2 significant figures: 123.85675
Correct Answer
120 or $$1.2\times10^{2}$$
2. Write the following to 3 significant figures: 8.1106847
Correct Answer
8.11 or $$8.11\times10^{0}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 1.18363
Correct Answer
$$1.18\times10^{0}$$
2. Write the following in standard form to 2 significant digits: 0.0191703
Correct Answer
$$1.9\times10^{-2}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 0.0416
Correct Answer
$$42\times10^{-3}$$
2. Write the following in preferred standard form to 4 significant digits: 0.0000196193
Correct Answer
$$19.62\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ \frac{\frac{-4}{-3}{(-1)}^{6}}{2\times3(-4)} $$
Correct Answer
$$ \frac{-1}{18}$$ or -0.0555556

9. Simplify 1

Simplify the following expression: $$ \left(-6(-2) - -3\times4\right)2\left(1 - 1\right) $$
Correct Answer
$$ 0$$ or 0.0

10. Simplify 2

Simplify the following expression: $$ 5(-5) + \frac{-2}{-4} - {\left(4 + -1\right)}^{2} $$
Correct Answer
$$ \frac{-67}{2}$$ or -33.5000


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